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Finding the Fourth Proportional to 18,250, 25,185 and 9,866.50

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Solution

The fourth proportional to 18,250, 25,185 and 9,866.50 is: 13,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,250 : 25,185 = 9,866.50 : x
  2. Step 2: Convert to fraction form
    18,250/25,185 = 9,866.50/x
  3. Step 3: Cross multiply
    18,250x = 25,185 × 9,866.50
  4. Step 4: Simplify right side
    18,250x = 248,487,802.50
  5. Step 5: Solve for x
    x = 248,487,802.50/18,250
  6. Step 6: Final answer
    x = 13,615.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.